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Paper Citation Record · LEDGER

Scattering of Rational Solutions to the Half-Wave Maps Equation

As of 23 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2502.08604.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2502.08604 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T04:35:16.059498Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

  • verified exact5
  • verified fuzzy15
  • unresolved3
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2f189d7e-2bcc-4e78-ae9e-0948f91571e7 · outbound

This paper cites Mul ti-solitons of the half- wave maps equation and calogero–moser spin–pole dynamics.

Scattering of Rational Solutions to the Half-Wave Maps Equation Mul ti-solitons of the half- wave maps equation and calogero–moser spin–pole dynamics

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.453697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:15.979732Z digest=sha256:93d38e7c05c9bc6a42b19ffd4005a73e9bb46c344c8e0371b7de03ad1c18e4cb

Observation 7ec28f1c-16e9-46aa-84ee-952d87dd3aa2 · outbound

This paper cites Spin generalizations of the Benjamin–Ono equation.

Scattering of Rational Solutions to the Half-Wave Maps Equation Spin generalizations of the Benjamin–Ono equation

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.444118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:15.983723Z digest=sha256:08a1063ae99c79fd93a1170cb41958407caf66fd0211d4d7a515c951a714ba14

Observation ac57a1a5-e9cd-4eb4-a908-e4016d18f0f4 · outbound

This paper cites The Lax pair structure for the spin Benj amin–Ono equation.

Scattering of Rational Solutions to the Half-Wave Maps Equation The Lax pair structure for the spin Benj amin–Ono equation

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.434719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:15.987430Z digest=sha256:f02ab7a2a8fa5ae13b68fcc69f62df80e2c516d52480eafdbb2840fb8fbb475a

Observation 521c21b2-8a19-4939-9fa8-660974a88ff5 · outbound

This paper cites The zero dispersion limit for the Benja min–Ono equation on the line.

Scattering of Rational Solutions to the Half-Wave Maps Equation The zero dispersion limit for the Benja min–Ono equation on the line

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.423337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:15.991229Z digest=sha256:588810028d14a954f34d9b8b7bc6323bf5cebc836fd76c437165a9658c84d306

Observation d7b62283-dbe4-428c-bce5-bdd56a34aeb5 · outbound

This paper cites A Lax pair structure f or the half-wave maps equation.

Scattering of Rational Solutions to the Half-Wave Maps Equation A Lax pair structure f or the half-wave maps equation

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.413633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:15.995252Z digest=sha256:31f8f7ae06d9e01ffd34bbf4d6aaaad0bc7251c54656005f666241312823d873

Observation 3f57f229-00cc-441e-ac44-a1fb3708828f · outbound

This paper cites Global Well-Posedne ss and Soliton Resolution for the Half-Wave Maps Equation with Rational Data.

Scattering of Rational Solutions to the Half-Wave Maps Equation Global Well-Posedne ss and Soliton Resolution for the Half-Wave Maps Equation with Rational Data

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-08T04:35:15.999057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T04:35:15.999057Z digest=sha256:0701a72e503ed8aed88159f499de9ab2199ee38ebe5fe726f7892d5b54e25e30

Observation e281ed74-e3e1-41be-bb31-9e29199b348b · outbound

This paper cites A generalisation of the C alogero-Moser system.

Scattering of Rational Solutions to the Half-Wave Maps Equation A generalisation of the C alogero-Moser system

Reference 7

Resolution
verified exact
doi, observed 2026-08-08T04:35:16.093758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.002931Z digest=sha256:9335e41c95da6162c44272b8f4fc6885ef6fa5979c45c7c91fb513008119ce7e

Observation d271a322-3de7-4799-bc9d-502c96beff79 · outbound

This paper cites Small data globa l regularity for half-wave maps in n= 4 dimensions.

Scattering of Rational Solutions to the Half-Wave Maps Equation Small data globa l regularity for half-wave maps in n= 4 dimensions

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.403781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.006604Z digest=sha256:293f7de35f2e317f6a7d14d2a8db9b2c259294a1d48077701f3c819c4ebc8909

Observation c82bd3e2-2d2b-4967-bafc-9850c2e2688f · outbound

This paper cites Spin generalization of the Calogero-Moser system and the Matrix KP equation.

Scattering of Rational Solutions to the Half-Wave Maps Equation Spin generalization of the Calogero-Moser system and the Matrix KP equation

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-08T04:35:16.164554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.010279Z digest=sha256:b37164364022dff4abc6f08f07d60cebc2b0e57a3dc72cfb1cf1224df4bf2b79

Observation 926a8522-cb21-4264-830c-790e49d18f8d · outbound

This paper cites Small data global re gularity for half-wave maps.

Scattering of Rational Solutions to the Half-Wave Maps Equation Small data global re gularity for half-wave maps

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.392991Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.014125Z digest=sha256:fa50fc5ca64b7c29523832776f33757c7388c025388a17c86692d7cd2b1f80ef

Observation 0997bcd7-fec8-4449-b70d-19e95a5c8dd7 · outbound

This paper cites Derivation of the Half-Wave Maps Equation from Calogero--Moser Spin Systems.

Scattering of Rational Solutions to the Half-Wave Maps Equation Derivation of the Half-Wave Maps Equation from Calogero--Moser Spin Systems

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-08T04:35:16.017678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T04:35:16.017678Z digest=sha256:6c92635983ae73cb0167447bfa8fb196df93198cdcf31a1878ac37e6758e9645

Observation 5a58b89c-f89c-4206-9f76-c0fa618732d3 · outbound

This paper cites A short primer on the half-wave maps equ ation.

Scattering of Rational Solutions to the Half-Wave Maps Equation A short primer on the half-wave maps equ ation

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.382920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.022015Z digest=sha256:6c0966d479beff3b0f67af3bba43a3823ffc411e2afb6e0b9ce33d69fef113df

Observation eab23370-3f12-42f3-b079-f4252919fc55 · outbound

This paper cites On energy-critica l half-wave maps into Sˆ 2 S 2.

Scattering of Rational Solutions to the Half-Wave Maps Equation On energy-critica l half-wave maps into Sˆ 2 S 2

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.372720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.025689Z digest=sha256:d1bb0daa2c86818a1804a8ab8ee1a3dc26f021570259d71cf444d4d3cabb1588

Observation 7702dc84-045e-42c0-917f-9bc1628fd3fd · outbound

This paper cites Global Well-Posedness For Half-Wave Maps With $S^2$ and $\mathbb{H}^2$ Targets For Small Smooth Initial Data.

Scattering of Rational Solutions to the Half-Wave Maps Equation Global Well-Posedness For Half-Wave Maps With $S^2$ and $\mathbb{H}^2$ Targets For Small Smooth Initial Data

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-08T04:35:16.140413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.029195Z digest=sha256:938df87a1dc8226e867c12f980e909fcd71ffd616fc474a6d4972ffbcc63d781

Observation 63beb046-cedd-4625-b444-92f4ef61df26 · outbound

This paper cites Integrability, conservation law s and solitons of a many-body dynamical system associated with the half-wave maps equati on.

Scattering of Rational Solutions to the Half-Wave Maps Equation Integrability, conservation law s and solitons of a many-body dynamical system associated with the half-wave maps equati on

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.363248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.033254Z digest=sha256:57a4ef727316bc1b42270aa5bc8538292d03b74a54395b6a1811aec78df8be70

Observation 644416da-0bfe-4466-b5ca-e6330b38a17b · outbound

This paper cites A Study on the Well-Posedness of 1D Energy-Critical Half-Wave Maps Equations.

Scattering of Rational Solutions to the Half-Wave Maps Equation A Study on the Well-Posedness of 1D Energy-Critical Half-Wave Maps Equations

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-08T04:35:16.125742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.036082Z digest=sha256:834e9687faeb2d82abec3f6b650996a1e99b4514c0631d211280d872fc8c3b09

Observation b8eb6fc6-982d-44fd-9e62-5ca997891482 · outbound

This paper cites Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles.

Scattering of Rational Solutions to the Half-Wave Maps Equation Half-Wave Maps: Explicit Formulas for Rational Functions with Simple Poles

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-08T04:35:16.110554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.039260Z digest=sha256:5feef36ea80fec39c69d0ee902d7866dc89668c819ac2e6ab014d2a9fdf82bfc

Observation 42b37e58-0826-4b9d-a562-5c97f1dbc203 · outbound

This paper cites Integration of the continuous Heisenbe rg spin chain through the in- verse scattering method.

Scattering of Rational Solutions to the Half-Wave Maps Equation Integration of the continuous Heisenbe rg spin chain through the in- verse scattering method

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.352281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.042321Z digest=sha256:9f4058095f2f6d5c02ede79b43c1599759f51c7355b6edb9a75b27d647d8b826

Observation adaf75cd-b79f-4706-af87-d86b1039a2d3 · outbound

This paper cites An integrable marriage of the Euler e quations with the Calogero- Moser system.

Scattering of Rational Solutions to the Half-Wave Maps Equation An integrable marriage of the Euler e quations with the Calogero- Moser system

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.342509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.045054Z digest=sha256:0dd1d581e7ad9d280fc5461a0ece1ce08e96e72daaa80d481ad7c2ba52a223eb

Observation dc6c1130-c0a4-41e3-95c2-59069c959c45 · outbound

This paper cites Solitons in a continuou s classical Haldane–Shastry spin chain.

Scattering of Rational Solutions to the Half-Wave Maps Equation Solitons in a continuou s classical Haldane–Shastry spin chain

Reference 20

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verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.333731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.047704Z digest=sha256:28b29ec25adad355e6a41dbc34d92d189aa04350e5fc53ff008b115f1ba6fd01

Observation c7132b28-74f5-4c04-9ac9-3e92fec49de1 · outbound

This paper cites an unresolved cited work.

Scattering of Rational Solutions to the Half-Wave Maps Equation Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-08T04:35:16.324163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.051486Z digest=sha256:ae641b82edb891ea067e4204cd39b04c18bb549c971ab5d6831b58e453025d88

Observation 2b5b07d7-653e-419e-9acf-25aaeda2cec9 · outbound

This paper cites |xi0 ptpq ´xjptpq| ě δ ą 0, (276) for some δ ą 0, then xAi0 ptφ ppqq,Ai0 ptφ ppqqy Ý Ý Ý Ñ pÑ8.

Scattering of Rational Solutions to the Half-Wave Maps Equation |xi0 ptpq ´xjptpq| ě δ ą 0, (276) for some δ ą 0, then xAi0 ptφ ppqq,Ai0 ptφ ppqqy Ý Ý Ý Ñ pÑ8

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.312946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.055560Z digest=sha256:f0348ca39bea4a5bf88d7079142264c41f5bca40a4faf6c4cf7447924cf86b3e

Observation 0111878d-bfbc-43b0-b2d9-41bb53b36019 · outbound

This paper cites We start by assuming the existence of tp Ñ 8 such that |xi0 ptpq ´xjptpq| ě δ for anyp and j ‰i0.

Scattering of Rational Solutions to the Half-Wave Maps Equation We start by assuming the existence of tp Ñ 8 such that |xi0 ptpq ´xjptpq| ě δ for anyp and j ‰i0

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T04:35:16.301288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-08T04:35:16.059498Z digest=sha256:792dd56ed5cdcbf06b66a47e2c7f76235d3f945aef8c3e1fe02ad1176f61e4c2

Pith citing papers

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